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Finding the Fourth Proportional to 1,882.73, 2,598.42 and 1,567.53

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Solution

The fourth proportional to 1,882.73, 2,598.42 and 1,567.53 is: 2,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.73 : 2,598.42 = 1,567.53 : x
  2. Step 2: Convert to fraction form
    1,882.73/2,598.42 = 1,567.53/x
  3. Step 3: Cross multiply
    1,882.73x = 2,598.42 × 1,567.53
  4. Step 4: Simplify right side
    1,882.73x = 4,073,101.30
  5. Step 5: Solve for x
    x = 4,073,101.30/1,882.73
  6. Step 6: Final answer
    x = 2,163.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.